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Finding the Fourth Proportional to 38,494.82, 57,720.36 and 15,108.50

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Solution

The fourth proportional to 38,494.82, 57,720.36 and 15,108.50 is: 22,654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,494.82 : 57,720.36 = 15,108.50 : x
  2. Step 2: Convert to fraction form
    38,494.82/57,720.36 = 15,108.50/x
  3. Step 3: Cross multiply
    38,494.82x = 57,720.36 × 15,108.50
  4. Step 4: Simplify right side
    38,494.82x = 872,068,059.06
  5. Step 5: Solve for x
    x = 872,068,059.06/38,494.82
  6. Step 6: Final answer
    x = 22,654.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.